%0 Journal Article %1 MR779460 %A Oelschläger, Karl %D 1985 %J Z. Wahrsch. Verw. Gebiete %K diffusion_approximation diffusion_limits interacting_particle_systems law_of_large_numbers %N 2 %P 279--322 %R 10.1007/BF02450284 %T A law of large numbers for moderately interacting diffusion processes %U http://dx.doi.org/10.1007/BF02450284 %V 69 %X Summary. We consider two special models of interacting diffusion pro- cesses, and derive in the limit, as the number of different processes tends to infinity and the interaction is rescaled in a suitable ("moderate") way, a law of large numbers for the empirical processes. As limit dynamics we obtain certain nonlinear diffusion equations.

@article{MR779460, abstract = {Summary. We consider two special models of interacting diffusion pro- cesses, and derive in the limit, as the number of different processes tends to infinity and the interaction is rescaled in a suitable ("moderate") way, a law of large numbers for the empirical processes. As limit dynamics we obtain certain nonlinear diffusion equations. }, added-at = {2011-04-18T22:26:41.000+0200}, author = {Oelschl{\"a}ger, Karl}, biburl = {https://www.bibsonomy.org/bibtex/20d524ef60ec922723a15d45f797d493d/peter.ralph}, coden = {ZWVGAA}, doi = {10.1007/BF02450284}, fjournal = {Zeitschrift f\"ur Wahrscheinlichkeitstheorie und Verwandte Gebiete}, interhash = {d7ae926d88504ee494fdc6ef63824dbb}, intrahash = {0d524ef60ec922723a15d45f797d493d}, issn = {0044-3719}, journal = {Z. Wahrsch. Verw. Gebiete}, keywords = {diffusion_approximation diffusion_limits interacting_particle_systems law_of_large_numbers}, mrclass = {60J60 (60K35 82A31)}, mrnumber = {779460 (86h:60153)}, mrreviewer = {Maria E. Vares}, number = 2, pages = {279--322}, timestamp = {2011-04-18T22:34:27.000+0200}, title = {A law of large numbers for moderately interacting diffusion processes}, url = {http://dx.doi.org/10.1007/BF02450284}, volume = 69, year = 1985 }